Finite Group Databasebeta

← #26005273

Subgroups — #26005273

Order 11008.

7338 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148901C214yesmaximal, complemented
2#19148886C214yesmaximal, complemented
3#19148869C214yesmaximal, complemented
4#19148846C214yesmaximal, complemented
5#19148768C214yesmaximal, complemented
6#19148749C214yesmaximal, complemented
7#19148637C214yesmaximal, complemented
8#19148626C214yesmaximal, complemented
9#19148521C218yesmaximal, complemented
10#19148439C214yesmaximal, complemented
11#19148431C214yesmaximal, complemented
12#19148337C212yesmaximal, complemented
13#19148327C212yesmaximal, complemented
14#19148312C212yesmaximal, complemented
15#19148268C212yesmaximal, complemented
16#19148262C212yesmaximal, complemented
17#19148239C211yesmaximal, characteristic, complemented
18C2×#14583406C211yesmaximal, characteristic, complemented
19#525×D43C212yesmaximal, complemented
20C43×#3487C211yesmaximal, characteristic, complemented
21C2×#13063370C2211yescharacteristic, complemented
22C2×#41×D43C2212yescomplemented
23C23×C4×D43C2211yescharacteristic, complemented
24#14583649C2214yescomplemented
25#14583644C2218yescomplemented
26#14583641C2214yescomplemented
27#14583637C2218yescomplemented
28#14583636C2214yescomplemented
29#14583636C2214yescomplemented
30#14583635C2214yescomplemented
31#14583632C2218yescomplemented
32#14583622C2214yescomplemented
33#14583620C2214yescomplemented
34#14583619C2214yescomplemented
35#14583614C2214yescomplemented
36#14583613C2214yescomplemented
37#14583613C2214yescomplemented
38#14583609C2214yescomplemented
39#14583603C2218yescomplemented
40#14583601C2214yescomplemented
41#14583599C2218yescomplemented
42#14583598C2218yescomplemented
43#14583596C2214yescomplemented
44#14583596C2214yescomplemented
45#14583595C2214yescomplemented
46#14583592C2218yescomplemented
47#14583592C2218yescomplemented
48#14583590C2214yescomplemented
49#14583590C2214yescomplemented
50#14583589C2214yescomplemented
51#14583583C2214yescomplemented
52#14583582C2218yescomplemented
53#14583580C2218yescomplemented
54#14583579C2214yescomplemented
55#14583579C2214yescomplemented
56#14583578C2218yescomplemented
57#14583576C2218yescomplemented
58#14583573C2218yescomplemented
59#14583569C2214yescomplemented
60Q8×C22⋊D43C2214yescomplemented
61#14583560C2214yescomplemented
62#14583557C2214yescomplemented
63#14583549C2214yescomplemented
64#14583548C2218yescomplemented
65#14583548C2214yescomplemented
66#14583548C2214yescomplemented
67#14583548C2214yescomplemented
68#14583542C2214yescomplemented
69#14583538C2218yescomplemented
70#14583538C2218yescomplemented
71#14583537C2218yescomplemented
72#14583537C2214yescomplemented
73#14583537C2214yescomplemented
74#14583537C2214yescomplemented
75#14583536C2218yescomplemented
76#14583536C2218yescomplemented
77#14583534C2214yescomplemented
78#14583534C2214yescomplemented
79#14583531C2218yescomplemented
80#14583527C2212yescomplemented
81#14583521C2214yescomplemented
82#14583519C2218yescomplemented
83#14583518C2214yescomplemented
84#14583513C2218yescomplemented
85#14583507C2214yescomplemented
86#14583503C2218yescomplemented
87#14583503C2214yescomplemented
88#14583499C2218yescomplemented
89#14583495C2218yescomplemented
90#14583494C2218yescomplemented
91#14583491C2218yescomplemented
92#14583484C2218yescomplemented
93#14583483C2218yescomplemented
94#14583482C2218yescomplemented
95#14583481C2218yescomplemented
96#14583481C2218yescomplemented
97#14583481C2218yescomplemented
98#14583478C2214yescomplemented
99#14583477C2212yescomplemented
100#14583477C2214yescomplemented
101#14583473C2212yescomplemented
102#14583473C2214yescomplemented
103#14583465C2214yescomplemented
104#14583462C2218yescomplemented
105#14583458C2214yescomplemented
106#14583457C2218yescomplemented
107#14583453C2214yescomplemented
108#14583447C2214yescomplemented
109#14583436C2214yescomplemented
110#14583428C2214yescomplemented
111#14583426C2218yescomplemented
112#14583412C2212yescomplemented
113#14583412C2212yescomplemented
114#14583411C2212yes—
115#14583410C2212yescomplemented
116#14583409C2212yescomplemented
117#14583409C2212yescomplemented
118#14583409C2214yescomplemented
119#14583408C2214yescomplemented
120#14583408C2214yescomplemented
121#14583407C2214yescomplemented
122#14583406C2212yescomplemented
123#14583406C2214yescomplemented
124#14583406C2214yescomplemented
125#14583406C2214yescomplemented
126#14583406C2214yescomplemented
127#14583406C2214yescomplemented
128#14583405C2214yescomplemented
129C2×#13063308C2214yescomplemented
130C2×#13063306C2212yescomplemented
131#123×D43C2214yescomplemented
132C2×#13063301C2212yescomplemented
133C2×#13063301C2214yescomplemented
134C22⋊Q8×D43C2212yescomplemented
135C22⋊Q8×D43C2212yescomplemented
136C2×#13063296C2212yescomplemented
137#121×D43C2212yescomplemented
138#121×D43C2212yescomplemented
139#121×D43C2214yescomplemented
140C2×#13063293C2212yescomplemented
141#120×D43C2214yescomplemented
142#14583382C2212yescomplemented
143#14583379C2212yescomplemented
144#14583378C2218yescomplemented
145#14583374C2211yescharacteristic, complemented
146#14583371C2218yescomplemented
147C2×C4×C22⋊D43C2214yescomplemented
148C4×D4×D43C2214yescomplemented
149C4×D4×D43C2214yescomplemented
150C2×#13063284C2211yescharacteristic, complemented
151#117×D43C2212yescomplemented
152C2×2−1+4×C43C2211yescharacteristic, complemented
153C22×#41×C43C2211yescharacteristic, complemented
154C43×#550C2214yescomplemented
155C43×#550C2214yescomplemented
156C43×#548C2214yescomplemented
157C43×#548C2214yescomplemented
158C43×#535C2214yescomplemented
159C43×#535C2212yescomplemented
160C43×#525C2212yescomplemented
161C43×#525C2214yescomplemented
162C43×#519C2211yescharacteristic, complemented
163C24×D43C2311yescharacteristic
164#13063370—44no—
165C2×#10621902C2312yes—
166C2×#10621898C2312yes—
167C2×#10621898C2314yes—
168C2×#10621900C2312yes—
169C2×#10621900C2318yes—
170C2×#10621900C2314yes—
171C2×#10621900C2314yescomplemented
172#41×D43—48no—
173C2×Q8×D43C2312yes—
174C22×C22⋊D43C2314yes—
175C22×C22⋊D43C2314yes—
176C2×D4×D43C2314yes—
177C2×D4×D43C2314yes—
178C2×D4×D43C2318yes—
179C2×D4×D43C2314yes—
180C2×D4×D43C2312yes—
181C2×D4×D43C2314yescomplemented
182C23×Dic43C2311yescharacteristic
183C22×C4×D43—44no—
184C22×C4×D43C2312yes—
185C22×C4×D43C2312yes—
186C22×C4×D43C2314yes—
187C22×C4×D43C2312yes—
188C22×C4×D43C2312yes—
189C22×C4×D43C2312yes—
190C22×C4×D43C2312yes—
191#13063325C2314yescomplemented
192#13063324C2314yescomplemented
193#13063323C2318yescomplemented
194#13063323C2314yescomplemented
195#13063321C2318yes—
196#13063320C2318yes—
197#13063320C2318yescomplemented
198#13063320C2318yescomplemented
199#13063319C2318yes—
200#13063319C2318yescomplemented
201#13063318C2318yes—
202#13063318C2318yes—
203#13063318C2318yescomplemented
204#13063318C2318yescomplemented
205#13063318C2318yescomplemented
206#13063317C2318yescomplemented
207#13063317C2314yescomplemented
208#13063316C2314yescomplemented
209#13063315C2318yescomplemented
210#13063315C2318yescomplemented
211#13063315C2318yescomplemented
212#13063314C2318yes—
213#13063314C2314yescomplemented
214#13063313C2318yes—
215#13063312C2318yes—
216#13063312C2318yescomplemented
217#13063311C2318yes—
218#13063311C2318yes—
219#13063311C2318yescomplemented
220#13063311C2318yescomplemented
221#13063310C2318yes—
222#13063310C2318yes—
223#13063310C2314yes—
224#13063310C2314yes—
225#13063309C2318yes—
226#13063309C2314yes—
227#13063308C2318yes—
228#13063308C2318yes—
229#13063308C2314yes—
230#13063308C2318yescomplemented
231#13063308C2318yescomplemented
232#13063308C2318yescomplemented
233#13063307C2318yes—
234#13063307C2318yes—
235#13063307C2314yes—
236#13063307C2314yes—
237#13063307C2318yescomplemented
238#13063306C2314yes—
239#13063306C2314yes—
240#13063306C2314yes—
241#13063306C2318yes—
242#13063306C2314yes—
243#13063306C2314yes—
244#13063306C2318yes—
245#13063306C2318yescomplemented
246#13063306C2318yescomplemented
247#13063306C2318yescomplemented
248#13063305C2312yes—
249#13063305C2312yes—
250#13063304C2312yes—
251#13063304C2312yes—
252#13063304C2318yescomplemented
253#13063304C2314yescomplemented
254#13063303C2318yes—
255#13063303C2314yes—
256#13063303C2314yes—
257#13063303C2318yescomplemented
258#13063302C2318yes—
259#13063302C2314yes—
260#13063302C2314yes—
261#13063302C2318yescomplemented
262#13063302C2318yescomplemented
263#13063301C2314yes—
264#13063301C2318yes—
265#13063301C2314yes—
266#13063301C2312yes—
267#13063301C2312yes—
268#13063301C2314yes—
269#13063301C2314yes—
270#13063301C2314yescomplemented
271#13063301C2318yescomplemented
272#13063301C2314yescomplemented
273#13063301C2314yescomplemented
274#13063300C2312yes—
275#13063300C2312yes—
276#13063299C2318yes—
277#13063299C2312yes—
278#13063299C2312yes—
279#13063299C2314yescomplemented
280#13063298C2318yes—
281#13063298C2318yes—
282#13063298C2314yes—
283#13063298C2314yes—
284#13063297C2318yes—
285#13063297C2318yes—
286#13063297C2318yes—
287#13063297C2318yes—
288#13063297C2318yes—
289#13063297C2318yes—
290#13063297C2314yes—
291#13063297C2318yes—
292#13063297C2314yes—
293#13063297C2318yes—
294#13063297C2318yescomplemented
295#13063297C2318yescomplemented
296#13063296C2314yes—
297#13063296C2314yes—
298#13063296C2318yes—
299#13063296C2318yes—
300#13063296C2314yes—
301#13063296C2312yes—
302#13063296C2312yes—
303#13063296C2314yes—
304#13063296C2314yescomplemented
305#13063296C2318yescomplemented
306#13063295C2314yes—
307#13063295C2318yes—
308#13063295C2314yes—
309#13063295C2314yes—
310#13063294C2314yes—
311#13063293C2318yes—
312#13063293C2314yes—
313#13063293C2314yes—
314#13063293C2314yes—
315#13063293C2314yes—
316#13063293C2314yes—
317#13063293C2314yes—
318#13063293C2318yes—
319#13063293C2314yes—
320#13063293C2318yes—
321#13063293C2318yescomplemented
322Q8×Dic43C2314yescomplemented
323C4×Dic86C2314yescomplemented
324C4×Dic86C2318yescomplemented
325#13063290C2318yescomplemented
326C4×D172C2314yes—
327C4×D172C2314yes—
328C4×D172C2318yes—
329C4×D172C2314yescomplemented
330D4×Dic43C2318yes—
331D4×Dic43C2314yes—
332D4×Dic43C2314yes—
333D4×Dic43C2318yescomplemented
334D4×Dic43C2318yescomplemented
335D4×Dic43C2314yescomplemented
336D4×Dic43C2314yescomplemented
337D4×Dic43C2314yescomplemented
338#13063287C2314yes—
339#13063287C2314yes—
340C4×C22⋊D43C2314yes—
341C4×C22⋊D43C2314yes—
342C4×C22⋊D43C2318yes—
343C4×C22⋊D43C2318yes—
344C4×C22⋊D43C2318yes—
345C4×C22⋊D43C2314yes—
346C4×C22⋊D43C2314yes—
347C4×C22⋊D43C2318yes—
348C4×C22⋊D43C2318yes—
349C4×C22⋊D43C2318yescomplemented
350(C22⋊D43)⋊C4C2318yes—
351(C22⋊D43)⋊C4C2318yes—
352(C22⋊D43)⋊C4C2314yes—
353(C22⋊D43)⋊C4C2314yes—
354(C22⋊D43)⋊C4C2318yes—
355(C22⋊D43)⋊C4C2314yes—
356(C22⋊D43)⋊C4C2314yes—
357(C22⋊D43)⋊C4C2318yescomplemented
358#13063284C2314yes—
359#13063284C2314yes—
360#13063284C2312yes—
361#13063284C2314yescomplemented
362#13063283C2312yes—
363#13063283C2312yes—
364#13063283C2318yescomplemented
365#13063283C2314yescomplemented
366#13063282C2318yes—
367#13063282C2314yes—
368#13063282C2318yescomplemented
369#13063281C2314yes—
370#13063281C2318yescomplemented
371#13063281C2318yescomplemented
372C2×C4⋊Dic43C2312yes—
373C2×C4⋊Dic43C2314yescomplemented
374C2×Dic43⋊C4C2314yes—
375C2×Dic43⋊C4C2318yescomplemented
376C2×Dic43⋊C4C2318yescomplemented
377C4⋊C4×D43C2312yes—
378C4⋊C4×D43C2312yes—
379C4⋊C4×D43C2314yes—
380C4⋊C4×D43C2314yes—
381C4⋊C4×D43C2314yescomplemented
382C2×C22⋊Dic43C2314yes—
383C2×C22⋊Dic43C2314yes—
384C2×C22⋊Dic43C2312yes—
385C2×(C2×D43)⋊C4C2314yes—
386C2×(C2×D43)⋊C4C2318yes—
387C2×(C2×D43)⋊C4C2318yescomplemented
388C22⋊C4×D43C2314yes—
389C22⋊C4×D43C2314yes—
390C22⋊C4×D43C2314yes—
391C22⋊C4×D43C2314yes—
392C22⋊C4×D43C2314yes—
393C22⋊C4×D43C2318yescomplemented
394C2×C4×Dic43C2312yes—
395C42×D43C2314yes—
3962−1+4×C43—44no—
397C2×#41×C43—44no—
398C2×#41×C43C2312yes—
399C2×#41×C43C2314yes—
400C2×#41×C43C2314yes—
401C2×#41×C43C2314yes—
402C2×#41×C43C2314yescomplemented
403C22×Q8×C43C2311yescharacteristic
404C22×Q8×C43C2314yescomplemented
405C22×D4×C43C2311yescharacteristic
406C22×D4×C43C2312yes—
407C23×C4×C43C2311yescharacteristic
408C23×C4×C43C2312yes—
409#127×C43C2314yes—
410#127×C43C2314yes—
411#127×C43C2314yescomplemented
412#124×C43C2314yes—
413#124×C43C2314yes—
414#124×C43C2314yescomplemented
415#123×C43C2314yes—
416C22⋊Q8×C43C2312yes—
417C22⋊Q8×C43C2312yes—
418C22⋊Q8×C43C2318yescomplemented
419#121×C43C2312yes—
420#121×C43C2312yes—
421#121×C43C2318yes—
422#121×C43C2318yes—
423#121×C43C2318yescomplemented
424#121×C43C2314yescomplemented
425#121×C43C2314yescomplemented
426#120×C43C2318yes—
427#120×C43C2314yes—
428C4×Q8×C43C2314yescomplemented
429C4×Q8×C43C2314yescomplemented
430C4×D4×C43C2314yes—
431C4×D4×C43C2314yes—
432C4×D4×C43C2318yescomplemented
433C4×D4×C43C2318yescomplemented
434#117×C43C2314yes—
435#117×C43C2312yes—
436C24×C43C2412yes—
437C24×C43C2411yescharacteristic
438C23×D43—44no—
439C23×D43—42no—
440C23×D43C2411yescharacteristic
441C23×D43C2412yes—
442C23×D43C2414yes—
443C23×D43C2412yes—
444C23×D43C2414yes—
445C23×D43C2411yescharacteristic
446#41×C43—28no—
447#41×C43—48no—
448#41×C43—48no—
449#41×C43—48no—
450#41×C43—48no—
451C2×Q8×C43—24no—
452C2×Q8×C43—48no—
453C2×Q8×C43C2414yes—
454C2×Q8×C43C2412yes—
455C2×Q8×C43C2414yes—
456C2×D4×C43—24no—
457C2×D4×C43—44no—
458C2×D4×C43C2414yes—
459C2×D4×C43C2412yes—
460C2×D4×C43C2414yes—
461C2×D4×C43C2414yes—
462C2×D4×C43C2414yes—
463C2×D4×C43C2418yes—
464C2×D4×C43C2418yes—
465C2×D4×C43C2414yes—
466C2×D4×C43C2414yes—
467C2×D4×C43C2414yes—
468C22×C4×C43—24no—
469C22×C4×C43—44no—
470C22×C4×C43C2412yes—
471C22×C4×C43C2412yes—
472C22×C4×C43C2412yes—
473C22×C4×C43C2414yes—
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2418yes—
476C22×C4×C43C2418yes—
477C22×C4×C43C2411yescharacteristic
478C2×C22⋊D43—48no—
479C2×C22⋊D43—48no—
480C2×C22⋊D43C2418yes—
481C2×C22⋊D43C2414yes—
482C2×C22⋊D43C2414yes—
483C2×C22⋊D43C2414yes—
484C2×C22⋊D43C2414yes—
485C2×C22⋊D43C2414yes—
486C2×C22⋊D43C2418yes—
487C2×C22⋊D43C2418yes—
488C2×C22⋊D43C2414yes—
489C2×C22⋊D43C2418yes—
490C2×C22⋊D43C2414yes—
491C22×Dic43—42no—
492C22×Dic43C2412yes—
493C22×Dic43C2414yes—
494C22×Dic43C2418yes—
495C22×Dic43C2418yes—
496C22×Dic43C2414yes—
497C22×Dic43C2414yes—
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2412yes—
500C22×Dic43C2411yescharacteristic
501#10621902—44no—
502Q8×D43—44no—
503#10621900—44no—
504#10621900—48no—
505#10621900—416no—
506#10621900—48no—
507D4×D43—48no—
508D4×D43—48no—
509D4×D43—416no—
510D4×D43—48no—
511D4×D43—44no—
512D4×D43—48no—
513#10621898—28no—
514#10621898—48no—
515C2×D172C2414yes—
516C2×D172C2412yes—
517C2×D172C2414yes—
518C2×D172C2414yes—
519C2×C4×D43—28no—
520C2×C4×D43—44no—
521C2×C4×D43—44no—
522C2×C4×D43—44no—
523C2×C4×D43—44no—
524C2×C4×D43—44no—
525C2×C4×D43—48no—
526C2×C4×D43C2412yes—
527C2×C4×D43C2414yes—
528C2×C4×D43C2412yes—
529C2×C4×D43C2414yes—
530C2×C4×D43C2412yes—
531C2×C4×D43C2412yes—
532C2×C4×D43C2414yes—
533C2×C4×D43C2412yes—
534C2×C4×D43C2414yes—
535C2×C4×D43C2412yes—
536C2×C4×D43C2414yes—
537C2×C4×D43C2418yes—
538C2×C4×D43C2412yes—
539C2×C4×D43C2412yes—
540C2×Dic86C2412yes—
541C2×Dic86C2418yes—
542C2×Dic86C2414yes—
543C4⋊C4×C43C2418yes—
544C4⋊C4×C43C2412yes—
545C4⋊C4×C43C2412yes—
546C4⋊C4×C43C2414yes—
547C4⋊C4×C43C2414yes—
548C22⋊C4×C43C2414yes—
549C22⋊C4×C43C2414yes—
550C22⋊C4×C43C2414yes—
551C22⋊C4×C43C2414yes—
552C22⋊C4×C43C2414yes—
553C22⋊C4×C43C2418yes—
554C22⋊C4×C43C2418yes—
555C42×C43C2414yes—
556C42×C43C2414yes—
557C42×C43C2414yes—
558C22⋊Dic43C2414yes—
559C22⋊Dic43C2414yes—
560C22⋊Dic43C2414yes—
561C22⋊Dic43C2414yes—
562C22⋊Dic43C2414yes—
563C22⋊Dic43C2418yes—
564C22⋊Dic43C2414yes—
565C22⋊Dic43C2414yes—
566C22⋊Dic43C2418yes—
567C22⋊Dic43C2414yes—
568C22⋊Dic43C2414yes—
569C22⋊Dic43C2418yes—
570C22⋊Dic43C2418yes—
571(C2×D43)⋊C4C2414yes—
572(C2×D43)⋊C4C2414yes—
573(C2×D43)⋊C4C2414yes—
574(C2×D43)⋊C4C2414yes—
575(C2×D43)⋊C4C2414yes—
576(C2×D43)⋊C4C2414yes—
577(C2×D43)⋊C4C2414yes—
578(C2×D43)⋊C4C2414yes—
579(C2×D43)⋊C4C2414yes—
580(C2×D43)⋊C4C2414yes—
581(C2×D43)⋊C4C2418yes—
582(C2×D43)⋊C4C2418yes—
583(C2×D43)⋊C4C2418yes—
584(C2×D43)⋊C4C2418yes—
585(C2×D43)⋊C4C2418yes—
586(C2×D43)⋊C4C2418yes—
587C4⋊Dic43C2412yes—
588C4⋊Dic43C2412yes—
589C4⋊Dic43C2414yes—
590C4⋊Dic43C2414yes—
591C4⋊Dic43C2414yes—
592C4⋊Dic43C2414yes—
593C4⋊Dic43C2418yes—
594C4⋊Dic43C2418yes—
595Dic43⋊C4C2414yes—
596Dic43⋊C4C2414yes—
597Dic43⋊C4C2414yes—
598Dic43⋊C4C2414yes—
599Dic43⋊C4C2414yes—
600Dic43⋊C4C2414yes—
601Dic43⋊C4C2418yes—
602Dic43⋊C4C2418yes—
603Dic43⋊C4C2418yes—
604Dic43⋊C4C2418yes—
605Dic43⋊C4C2418yes—
606Dic43⋊C4C2418yes—
607Dic43⋊C4C2418yes—
608Dic43⋊C4C2418yes—
609C4×Dic43C2414yes—
610C4×Dic43C2414yes—
611C4×Dic43C2414yes—
612C4×Dic43C2418yes—
613C4×Dic43C2418yes—
614C4×Dic43C2418yes—
615C23×C43—22no—
616C23×C43—24no—
617C23×C43—42no—
618C23×C43—44no—
619C23×C43C2511yescharacteristic
620C23×C43C2511yescharacteristic
621C23×C43C2514yes—
622C23×C43C2514yes—
623C23×C43C2511yescharacteristic
624C22×D43—24no—
625C22×D43—24no—
626C22×D43—24no—
627C22×D43—24no—
628C22×D43—28no—
629C22×D43—41no—
630C22×D43—42no—
631C22×D43—41no—
632C22×D43—42no—
633C22×D43—42no—
634C22×D43—42no—
635C22×D43—44no—
636C22×D43—44no—
637C22×D43—44no—
638C22×D43—48no—
639C22×D43—416no—
640C22×D43C2512yes—
641C22×D43C2514yes—
642C22×D43C2512yes—
643Q8×C43—24no—
644Q8×C43—28no—
645Q8×C43—44no—
646D4×C43—28no—
647D4×C43—28no—
648D4×C43—24no—
649D4×C43—44no—
650D4×C43—44no—
651D4×C43—48no—
652D4×C43—48no—
653D4×C43—44no—
654D4×C43—44no—
655D4×C43—44no—
656C2×C4×C43—22no—
657C2×C4×C43—24no—
658C2×C4×C43—24no—
659C2×C4×C43—24no—
660C2×C4×C43—28no—
661C2×C4×C43—48no—
662C2×C4×C43—48no—
663C2×C4×C43H(5,𝔽2)14yes—
664C2×C4×C43C2512yes—
665C2×C4×C43C2514yes—
666C2×C4×C43C2514yes—
667C2×C4×C43C2514yes—
668C2×C4×C43C2514yes—
669C2×C4×C43C2512yes—
670C22⋊D43—28no—
671C22⋊D43—28no—
672C22⋊D43—216no—
673C22⋊D43—44no—
674C22⋊D43—44no—
675C22⋊D43—48no—
676C22⋊D43—44no—
677C22⋊D43—48no—
678C22⋊D43—44no—
679C22⋊D43—44no—
680C22⋊D43—48no—
681C2×Dic43—24no—
682C2×Dic43—41no—
683C2×Dic43—42no—
684C2×Dic43—41no—
685C2×Dic43—44no—
686C2×Dic43—44no—
687C2×Dic43—48no—
688C2×Dic43—48no—
689C2×Dic43—44no—
690C2×Dic43C2518yes—
691C2×Dic43C2512yes—
692C2×Dic43C2514yes—
693C2×Dic43C2514yes—
694C2×Dic43C2514yes—
695C2×Dic43C2512yes—
696D172—28no—
697D172—24no—
698D172—44no—
699D172—44no—
700C4×D43—28no—
701C4×D43—24no—
702C4×D43—24no—
703C4×D43—24no—
704C4×D43—24no—
705C4×D43—28no—
706C4×D43—42no—
707C4×D43—42no—
708C4×D43—42no—
709C4×D43—42no—
710C4×D43—44no—
711C4×D43—44no—
712C4×D43—44no—
713C4×D43—48no—
714Dic86—24no—
715Dic86—44no—
716Dic86—48no—
717#62821—431nomaximal, Sylow
718C22×C43—22no—
719C22×C43—21no—
720C22×C43—21no—
721C22×C43—24no—
722C22×C43—24no—
723C22×C43—22no—
724C22×C43—22no—
725C22×C43—24no—
726C22×C43—28no—
727C22×C43—24no—
728C22×C43—44no—
729C22×C43—84no—
730C22×C43C2×H(5,𝔽2)12yes—
731C22×C43C2611yescharacteristic
732C2×D43—22no—
733C2×D43—22no—
734C2×D43—22no—
735C2×D43—24no—
736C2×D43—24no—
737C2×D43—22no—
738C2×D43—22no—
739C2×D43—24no—
740C2×D43—44no—
741C2×D43—48no—
742C2×D43—48no—
743C2×D43—44no—
744C2×D43—88no—
745C2×D43—164no—
746C2×D43#58514yes—
747C4×C43—24no—
748C4×C43—22no—
749C4×C43—24no—
750C4×C43—24no—
751C4×C43—24no—
752C4×C43C2×H(5,𝔽2)14yes—
753Dic43—24no—
754Dic43—22no—
755Dic43—22no—
756Dic43—24no—
757Dic43—28no—
758Dic43—24no—
759#3542—434no—
760#3541—434no—
761#3540—434no—
762#3539—434no—
763#3533—434no—
764#3532—434no—
765#3520—434no—
766#3519—434no—
767#3513—438no—
768#3506—434no—
769#3505—434no—
770#3495—432no—
771#3494—432no—
772#3493—432no—
773#3489—432no—
774#3488—432no—
775#3487D4311yescharacteristic, complemented
776#3485—431no—
777C2×#525—431no—
778C2×#525—432no—
779C2×C43—22no—
780C2×C43—41no—
781C2×C43—41no—
782C2×C43—44no—
783C2×C43—44no—
784C2×C43C22×H(5,𝔽2)11yescharacteristic
785C2×C43C2×#58512yes—
786D43—24no—
787D43—42no—
788D43—44no—
789C2×2−1+4C2×D4311yescharacteristic, complemented
790C2×H(5,𝔽2)—431no—
791C22×#41—432no—
792C22×#41C2×D4311yescharacteristic, complemented
793C24×C4—431no—
794#563—434no—
795#562—438no—
796H(3,𝔽4)—434no—
797#560—434no—
798#560—434no—
799#560—438no—
800#559—434no—
801#559—438no—
802#556—434no—
803#556—434no—
804#556—434no—
805#555—434no—
806#555—434no—
807#555—434no—
808#554—438no—
809#554—434no—
810#553—438no—
811#553—434no—
812#553—438no—
813#553—434no—
814#553—434no—
815#553—434no—
816#553—438no—
817#553—438no—
818#552—434no—
819#552—434no—
820#552—434no—
821#552—434no—
822#552—438no—
823#551—434no—
824#551—434no—
825#551—438no—
826#551—438no—
827#551—438no—
828#551—438no—
829#550—434no—
830#550C2×D4314yescomplemented
831#550C2×D4314yescomplemented
832D4×Q8—434no—
833#548—434no—
834#548—434no—
835#548C2×D4314yescomplemented
836#548C2×D4314yescomplemented
837#547—434no—
838#547—434no—
839#547—438no—
840#547—434no—
841#547—434no—
842#546—434no—
843#546—434no—
844#546—438no—
845#546—434no—
846#546—434no—
847#546—438no—
848#546—438no—
849#546—438no—
850#546—438no—
851D42—434no—
852D42—434no—
853D42—438no—
854#544—432no—
855#542—438no—
856#542—434no—
857#542—438no—
858#542—434no—
859#541—434no—
860#540—438no—
861#540—434no—
862#540—438no—
863#539—438no—
864#539—438no—
865#539—438no—
866#538—438no—
867#538—438no—
868#538—438no—
869#538—438no—
870#538—438no—
871#538—438no—
872#537—432no—
873#537—434no—
874#537—434no—
875#536—432no—
876#536—434no—
877#535—438no—
878#535—434no—
879#535C2×D4314yescomplemented
880#535C2×D4312yescomplemented
881#534—434no—
882#534—438no—
883#533—434no—
884#532—434no—
885#529—434no—
886#529—438no—
887#529—434no—
888#525—432no—
889#525—434no—
890#525—434no—
891#525—434no—
892#525—434no—
893#525—434no—
894#525—432no—
895#525—434no—
896#525—432no—
897#525—432no—
898#525—432no—
899#525—432no—
900#525—434no—
901#525—434no—
902#525—434no—
903#525—434no—
904#525—432no—
905#525C2×D4312yescomplemented
906#525C2×D4314yescomplemented
907C2×#123—432no—
908C2×#123—434no—
909C2×#123—434no—
910C2×C22⋊Q8—432no—
911C2×C22⋊Q8—434no—
912C2×C22⋊Q8—432no—
913C2×C22⋊Q8—432no—
914C2×#121—432no—
915C2×#121—432no—
916C2×#121—432no—
917C2×#121—434no—
918C2×#120—432no—
919C2×#120—434no—
920#520—432no—
921#520—438no—
922#520—432no—
923#519C2×D4311yescharacteristic, complemented
924#518—431no—
925#518—438no—
926C2×C4×D4—434no—
927C2×C4×D4—434no—
928C2×C4×D4—434no—
929C2×#117—431no—
930C2×#117—432no—
931C43#6282111yescharacteristic, complemented, Sylow
932C25—431no—
9332−1+4—44no—
934H(5,𝔽2)—1724no—
935C2×#41—44no—
936C2×#41—432no—
937C2×#41—438no—
938C2×#41—434no—
939C2×#41—432no—
940C2×#41—434no—
941C2×#41—432no—
942C2×#41—434no—
943C2×#41—1728no—
944C2×#41C22×D4312yes—
945C2×#41C22×D4314yes—
946C2×#41C22×D4314yes—
947C2×#41C22×D4314yes—
948C2×#41C22×D4314yescomplemented
949C22×Q8—432no—
950C22×Q8C22×D4311yescharacteristic
951C22×Q8C22×D4314yescomplemented
952C22×D4—434no—
953C22×D4—434no—
954C22×D4—434no—
955C22×D4—434no—
956C22×D4—438no—
957C22×D4—434no—
958C22×D4—432no—
959C22×D4—434no—
960C22×D4C22×D4311yescharacteristic
961C22×D4C22×D4312yes—
962C23×C4—431no—
963C23×C4—432no—
964C23×C4—432no—
965C23×C4—434no—
966C23×C4—432no—
967C23×C4—432no—
968C23×C4—432no—
969C23×C4—432no—
970C23×C4—1724no—
971C23×C4C22×D4311yescharacteristic
972C23×C4C22×D4312yes—
973C4⋊Q8—434no—
974C4⋊Q8—438no—
975C4⋊Q8—434no—
976C4⋊Q8—434no—
977#127—438no—
978#127C22×D4314yes—
979#127C22×D4314yes—
980#127C22×D4314yescomplemented
981#126—438no—
982#126—438no—
983#126—438no—
984#126—438no—
985#126—438no—
986#126—438no—
987#126—438no—
988#126—438no—
989#126—438no—
990#126—438no—
991#125—438no—
992#125—434no—
993#125—438no—
994#125—438no—
995#125—434no—
996#125—438no—
997#124—434no—
998#124—438no—
999#124—438no—
1000#124—438no—
1001#124—438no—
1002#124—438no—
1003#124—438no—
1004#124—438no—
1005#124—438no—
1006#124C22×D4314yes—
1007#124C22×D4314yes—
1008#124C22×D4314yescomplemented
1009#123—438no—
1010#123—434no—
1011#123—434no—
1012#123—434no—
1013#123—438no—
1014#123—434no—
1015#123—434no—
1016#123—438no—
1017#123—438no—
1018#123—438no—
1019#123—434no—
1020#123—438no—
1021#123—438no—
1022#123—438no—
1023#123—438no—
1024#123—438no—
1025#123—434no—
1026#123—434no—
1027#123—438no—
1028#123—438no—
1029#123—434no—
1030#123—434no—
1031#123—434no—
1032#123—438no—
1033#123—438no—
1034#123—438no—
1035#123—438no—
1036#123C22×D4314yes—
1037C22⋊Q8—432no—
1038C22⋊Q8—434no—
1039C22⋊Q8—432no—
1040C22⋊Q8—434no—
1041C22⋊Q8—434no—
1042C22⋊Q8—434no—
1043C22⋊Q8—434no—
1044C22⋊Q8—434no—
1045C22⋊Q8—438no—
1046C22⋊Q8—438no—
1047C22⋊Q8—434no—
1048C22⋊Q8—432no—
1049C22⋊Q8—432no—
1050C22⋊Q8—434no—
1051C22⋊Q8—438no—
1052C22⋊Q8—432no—
1053C22⋊Q8—432no—
1054C22⋊Q8—434no—
1055C22⋊Q8—434no—
1056C22⋊Q8—438no—
1057C22⋊Q8—438no—
1058C22⋊Q8—434no—
1059C22⋊Q8—434no—
1060C22⋊Q8—438no—
1061C22⋊Q8—438no—
1062C22⋊Q8—438no—
1063C22⋊Q8C22×D4312yes—
1064C22⋊Q8C22×D4312yes—
1065C22⋊Q8C22×D4318yescomplemented
1066#121—434no—
1067#121—432no—
1068#121—434no—
1069#121—432no—
1070#121—434no—
1071#121—434no—
1072#121—434no—
1073#121—434no—
1074#121—438no—
1075#121—434no—
1076#121—438no—
1077#121—438no—
1078#121—438no—
1079#121—438no—
1080#121—438no—
1081#121—438no—
1082#121—438no—
1083#121—438no—
1084#121—438no—
1085#121—438no—
1086#121—438no—
1087#121—438no—
1088#121—432no—
1089#121—432no—
1090#121—434no—
1091#121—438no—
1092#121—432no—
1093#121—432no—
1094#121—434no—
1095#121—434no—
1096#121—438no—
1097#121—438no—
1098#121C22×D4312yes—
1099#121C22×D4312yes—
1100#121C22×D4318yes—
1101#121C22×D4318yes—
1102#121C22×D4314yescomplemented
1103#121C22×D4314yescomplemented
1104#121C22×D4318yescomplemented
1105#120—434no—
1106#120—438no—
1107#120—434no—
1108#120—434no—
1109#120—434no—
1110#120—434no—
1111#120—434no—
1112#120—438no—
1113#120—438no—
1114#120—434no—
1115#120—434no—
1116#120—438no—
1117#120—434no—
1118#120—434no—
1119#120—434no—
1120#120—438no—
1121#120C22×D4314yes—
1122#120C22×D4318yes—
1123C4×Q8—434no—
1124C4×Q8—438no—
1125C4×Q8—434no—
1126C4×Q8—438no—
1127C4×Q8C22×D4314yescomplemented
1128C4×Q8C22×D4314yescomplemented
1129C4×D4—434no—
1130C4×D4—434no—
1131C4×D4—434no—
1132C4×D4—438no—
1133C4×D4—434no—
1134C4×D4—438no—
1135C4×D4—438no—
1136C4×D4—434no—
1137C4×D4—438no—
1138C4×D4—438no—
1139C4×D4—434no—
1140C4×D4—434no—
1141C4×D4—434no—
1142C4×D4—438no—
1143C4×D4—434no—
1144C4×D4—438no—
1145C4×D4—438no—
1146C4×D4—438no—
1147C4×D4—434no—
1148C4×D4—434no—
1149C4×D4—434no—
1150C4×D4—434no—
1151C4×D4—434no—
1152C4×D4—434no—
1153C4×D4—438no—
1154C4×D4—438no—
1155C4×D4—438no—
1156C4×D4—438no—
1157C4×D4—434no—
1158C4×D4—434no—
1159C4×D4—438no—
1160C4×D4—434no—
1161C4×D4C22×D4314yes—
1162C4×D4C22×D4314yes—
1163C4×D4C22×D4318yescomplemented
1164C4×D4C22×D4318yescomplemented
1165#117—432no—
1166#117—434no—
1167#117—434no—
1168#117—434no—
1169#117—432no—
1170#117—432no—
1171#117—438no—
1172#117—434no—
1173#117—434no—
1174#117—438no—
1175#117—438no—
1176#117—434no—
1177#117—438no—
1178#117—438no—
1179#117C22×D4312yes—
1180#117C22×D4314yes—
1181C2×C4⋊C4—432no—
1182C2×C4⋊C4—434no—
1183C2×C4⋊C4—434no—
1184C2×C4⋊C4—438no—
1185C2×C4⋊C4—438no—
1186C2×C4⋊C4—432no—
1187C2×C4⋊C4—432no—
1188C2×C4⋊C4—434no—
1189C2×C4⋊C4—434no—
1190C2×C4⋊C4—434no—
1191C2×C22⋊C4—432no—
1192C2×C22⋊C4—434no—
1193C2×C22⋊C4—434no—
1194C2×C22⋊C4—434no—
1195C2×C22⋊C4—438no—
1196C2×C22⋊C4—438no—
1197C2×C22⋊C4—434no—
1198C2×C22⋊C4—434no—
1199C2×C22⋊C4—434no—
1200C2×C22⋊C4—434no—
1201C2×C22⋊C4—434no—
1202C2×C22⋊C4—438no—
1203C2×C42—432no—
1204C2×C42—434no—
1205C24—431no—
1206C24—432no—
1207C24—434no—
1208C24—432no—
1209C24—434no—
1210C24—431no—
1211C24—1722no—
1212C24—1724no—
1213C24C23×D4312yes—
1214C24C23×D4311yescharacteristic
1215#41—28no—
1216#41—48no—
1217#41—48no—
1218#41—48no—
1219#41—48no—
1220#41—868no—
1221#41—1728no—
1222#41—1728no—
1223#41—1724no—
1224#41—1728no—
1225#41—17216no—
1226#41—1724no—
1227C2×Q8—24no—
1228C2×Q8—48no—
1229C2×Q8—432no—
1230C2×Q8—438no—
1231C2×Q8—434no—
1232C2×Q8—1724no—
1233C2×Q8C23×D4312yes—
1234C2×Q8C23×D4314yes—
1235C2×Q8C23×D4314yes—
1236C2×D4—24no—
1237C2×D4—44no—
1238C2×D4—434no—
1239C2×D4—438no—
1240C2×D4—434no—
1241C2×D4—434no—
1242C2×D4—434no—
1243C2×D4—438no—
1244C2×D4—434no—
1245C2×D4—438no—
1246C2×D4—434no—
1247C2×D4—434no—
1248C2×D4—438no—
1249C2×D4—434no—
1250C2×D4—432no—
1251C2×D4—434no—
1252C2×D4—434no—
1253C2×D4—1724no—
1254C2×D4—1728no—
1255C2×D4—1728no—
1256C2×D4—1728no—
1257C2×D4—17216no—
1258C2×D4—1728no—
1259C2×D4—1728no—
1260C2×D4—1728no—
1261C2×D4C23×D4314yes—
1262C2×D4C23×D4312yes—
1263C2×D4C23×D4314yes—
1264C2×D4C23×D4314yes—
1265C2×D4C23×D4314yes—
1266C2×D4C23×D4318yes—
1267C2×D4C23×D4318yes—
1268C2×D4C23×D4314yes—
1269C2×D4C23×D4314yes—
1270C2×D4C23×D4314yes—
1271C22×C4—24no—
1272C22×C4—44no—
1273C22×C4—432no—
1274C22×C4—434no—
1275C22×C4—438no—
1276C22×C4—438no—
1277C22×C4—434no—
1278C22×C4—434no—
1279C22×C4—431no—
1280C22×C4—432no—
1281C22×C4—431no—
1282C22×C4—432no—
1283C22×C4—434no—
1284C22×C4—432no—
1285C22×C4—434no—
1286C22×C4—432no—
1287C22×C4—432no—
1288C22×C4—434no—
1289C22×C4—432no—
1290C22×C4—432no—
1291C22×C4—434no—
1292C22×C4—434no—
1293C22×C4—438no—
1294C22×C4—432no—
1295C22×C4—432no—
1296C22×C4—868no—
1297C22×C4—1724no—
1298C22×C4—1724no—
1299C22×C4—1724no—
1300C22×C4—1724no—
1301C22×C4—1728no—
1302C22×C4—1724no—
1303C22×C4—1722no—
1304C22×C4C23×D4311yescharacteristic
1305C22×C4C23×D4312yes—
1306C22×C4C23×D4314yes—
1307C22×C4C23×D4312yes—
1308C22×C4C23×D4312yes—
1309C22×C4C23×D4318yes—
1310C22×C4C23×D4318yes—
1311C22×C4C23×D4311yescharacteristic
1312C4⋊C4—432no—
1313C4⋊C4—434no—
1314C4⋊C4—434no—
1315C4⋊C4—434no—
1316C4⋊C4—434no—
1317C4⋊C4—434no—
1318C4⋊C4—438no—
1319C4⋊C4—438no—
1320C4⋊C4—432no—
1321C4⋊C4—434no—
1322C4⋊C4—434no—
1323C4⋊C4—434no—
1324C4⋊C4—434no—
1325C4⋊C4—438no—
1326C4⋊C4—434no—
1327C4⋊C4—438no—
1328C4⋊C4—438no—
1329C4⋊C4—438no—
1330C4⋊C4—438no—
1331C4⋊C4—438no—
1332C4⋊C4—438no—
1333C4⋊C4—438no—
1334C4⋊C4C23×D4312yes—
1335C4⋊C4C23×D4312yes—
1336C4⋊C4C23×D4314yes—
1337C4⋊C4C23×D4314yes—
1338C4⋊C4C23×D4318yes—
1339C22⋊C4—434no—
1340C22⋊C4—438no—
1341C22⋊C4—434no—
1342C22⋊C4—434no—
1343C22⋊C4—434no—
1344C22⋊C4—434no—
1345C22⋊C4—434no—
1346C22⋊C4—438no—
1347C22⋊C4—434no—
1348C22⋊C4—434no—
1349C22⋊C4—434no—
1350C22⋊C4—438no—
1351C22⋊C4—438no—
1352C22⋊C4—434no—
1353C22⋊C4—434no—
1354C22⋊C4—434no—
1355C22⋊C4—434no—
1356C22⋊C4—438no—
1357C22⋊C4—438no—
1358C22⋊C4—438no—
1359C22⋊C4—434no—
1360C22⋊C4—434no—
1361C22⋊C4—434no—
1362C22⋊C4—434no—
1363C22⋊C4—438no—
1364C22⋊C4—434no—
1365C22⋊C4—438no—
1366C22⋊C4—434no—
1367C22⋊C4—438no—
1368C22⋊C4C23×D4314yes—
1369C22⋊C4C23×D4314yes—
1370C22⋊C4C23×D4314yes—
1371C22⋊C4C23×D4314yes—
1372C22⋊C4C23×D4314yes—
1373C22⋊C4C23×D4318yes—
1374C22⋊C4C23×D4318yes—
1375C42—434no—
1376C42—438no—
1377C42—434no—
1378C42—434no—
1379C42—438no—
1380C42—438no—
1381C42C23×D4314yes—
1382C42C23×D4314yes—
1383C42C23×D4314yes—
1384C23—22no—
1385C23—24no—
1386C23—42no—
1387C23—44no—
1388C23—432no—
1389C23—432no—
1390C23—434no—
1391C23—868no—
1392C23—864no—
1393C23—864no—
1394C23—864no—
1395C23—864no—
1396C23—1724no—
1397C23—1724no—
1398C23—1721no—
1399C23—1722no—
1400C23—1721no—
1401C23—1722no—
1402C23—1722no—
1403C23—1722no—
1404C23—1724no—
1405C23—1728no—
1406C23—17216no—
1407C23C24×D4311yescharacteristic
1408C23C24×D4311yescharacteristic
1409C23C24×D4314yes—
1410C23C24×D4314yes—
1411C23C24×D4311yescharacteristic
1412Q8—28no—
1413Q8—24no—
1414Q8—44no—
1415Q8—864no—
1416Q8—1724no—
1417Q8—1728no—
1418D4—28no—
1419D4—28no—
1420D4—24no—
1421D4—44no—
1422D4—44no—
1423D4—44no—
1424D4—44no—
1425D4—48no—
1426D4—44no—
1427D4—48no—
1428D4—868no—
1429D4—8616no—
1430D4—868no—
1431D4—868no—
1432D4—864no—
1433D4—1724no—
1434D4—1724no—
1435D4—1728no—
1436D4—1724no—
1437D4—1724no—
1438D4—1724no—
1439D4—1724no—
1440D4—1728no—
1441D4—1728no—
1442D4—1724no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—28no—
1448C2×C4—48no—
1449C2×C4—48no—
1450C2×C4—434no—
1451C2×C4—438no—
1452C2×C4—432no—
1453C2×C4—434no—
1454C2×C4—434no—
1455C2×C4—432no—
1456C2×C4—868no—
1457C2×C4—864no—
1458C2×C4—864no—
1459C2×C4—864no—
1460C2×C4—864no—
1461C2×C4—864no—
1462C2×C4—868no—
1463C2×C4—1722no—
1464C2×C4—1722no—
1465C2×C4—1722no—
1466C2×C4—1722no—
1467C2×C4—1724no—
1468C2×C4—1724no—
1469C2×C4—1728no—
1470C2×C4—1724no—
1471C2×C4—1721no—
1472C2×C4—1722no—
1473C2×C4—1721no—
1474C2×C4—1724no—
1475C2×C4—1724no—
1476C2×C4—1724no—
1477C2×C4—1728no—
1478C2×C4—1728no—
1479C2×C4#1306337014yes—
1480C2×C4C24×D4312yes—
1481C2×C4C24×D4314yes—
1482C2×C4C24×D4314yes—
1483C2×C4C24×D4314yes—
1484C2×C4C24×D4314yes—
1485C2×C4C24×D4312yes—
1486C22—22no—
1487C22—21no—
1488C22—21no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—28no—
1493C22—24no—
1494C22—22no—
1495C22—22no—
1496C22—44no—
1497C22—84no—
1498C22—434no—
1499C22—862no—
1500C22—862no—
1501C22—862no—
1502C22—864no—
1503C22—864no—
1504C22—864no—
1505C22—862no—
1506C22—862no—
1507C22—3448no—
1508C22—1728no—
1509C22—1724no—
1510C22—1728no—
1511C22—1724no—
1512C22—6884no—
1513C22C2×#1306337012yes—
1514C22C25×D4311yescharacteristic
1515C4—22no—
1516C4—24no—
1517C4—24no—
1518C4—24no—
1519C4—24no—
1520C4—862no—
1521C4—862no—
1522C4—864no—
1523C4—864no—
1524C4—868no—
1525C4—864no—
1526C4C2×#1306337014yes—
1527C2—22no—
1528C2—41no—
1529C2—41no—
1530C2—44no—
1531C2—44no—
1532C2—864no—
1533C2—1724no—
1534C2—1722no—
1535C2C22×#1306337011yescharacteristic
1536C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3487C2
hypercenter#3487D43
hypocenterC43#62821
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3487

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19148901C2semidirect
2. #19148886C2semidirect
3. #19148869C2semidirect
4. #19148846C2semidirect
5. #19148768C2semidirect
6. #19148749C2semidirect
7. #19148637C2semidirect
8. #19148626C2semidirect
9. #19148521C2semidirect
10. #19148439C2semidirect
11. #19148431C2semidirect
12. #19148337C2semidirect
13. #19148327C2semidirect
14. #19148312C2semidirect
15. #19148268C2semidirect
16. #19148262C2semidirect
17. #19148239C2semidirect
18. C2×#14583406C2semidirect
19. #525×D43C2semidirect
20. C43×#3487C2semidirect
21. C2×#13063370C22semidirect
22. C2×#41×D43C22semidirect
23. C23×C4×D43C22semidirect
24. #14583649C22semidirect
25. #14583644C22semidirect
26. #14583641C22semidirect
27. #14583637C22semidirect
28. #14583636C22semidirect
29. #14583636C22semidirect
30. #14583635C22semidirect
31. #14583632C22semidirect
32. #14583622C22semidirect
33. #14583620C22semidirect
34. #14583619C22semidirect
35. #14583614C22semidirect
36. #14583613C22semidirect
37. #14583613C22semidirect
38. #14583609C22semidirect
39. #14583603C22semidirect
40. #14583601C22semidirect
41. #14583599C22semidirect
42. #14583598C22semidirect
43. #14583596C22semidirect
44. #14583596C22semidirect
45. #14583595C22semidirect
46. #14583592C22semidirect
47. #14583592C22semidirect
48. #14583590C22semidirect
49. #14583590C22semidirect
50. #14583589C22semidirect
51. #14583583C22semidirect
52. #14583582C22semidirect
53. #14583580C22semidirect
54. #14583579C22semidirect
55. #14583579C22semidirect
56. #14583578C22semidirect
57. #14583576C22semidirect
58. #14583573C22semidirect
59. #14583569C22semidirect
60. Q8×C22⋊D43C22semidirect
61. #14583560C22semidirect
62. #14583557C22semidirect
63. #14583549C22semidirect
64. #14583548C22semidirect
65. #14583548C22semidirect
66. #14583548C22semidirect
67. #14583548C22semidirect
68. #14583542C22semidirect
69. #14583538C22semidirect
70. #14583538C22semidirect
71. #14583537C22semidirect
72. #14583537C22semidirect
73. #14583537C22semidirect
74. #14583537C22semidirect
75. #14583536C22semidirect
76. #14583536C22semidirect
77. #14583534C22semidirect
78. #14583534C22semidirect
79. #14583531C22semidirect
80. #14583527C22semidirect
81. #14583521C22semidirect
82. #14583519C22semidirect
83. #14583518C22semidirect
84. #14583513C22semidirect
85. #14583507C22semidirect
86. #14583503C22semidirect
87. #14583503C22semidirect
88. #14583499C22semidirect
89. #14583495C22semidirect
90. #14583494C22semidirect
91. #14583491C22semidirect
92. #14583484C22semidirect
93. #14583483C22semidirect
94. #14583482C22semidirect
95. #14583481C22semidirect
96. #14583481C22semidirect
97. #14583481C22semidirect
98. #14583478C22semidirect
99. #14583477C22semidirect
100. #14583477C22semidirect
101. #14583473C22semidirect
102. #14583473C22semidirect
103. #14583465C22semidirect
104. #14583462C22semidirect
105. #14583458C22semidirect
106. #14583457C22semidirect
107. #14583453C22semidirect
108. #14583447C22semidirect
109. #14583436C22semidirect
110. #14583428C22semidirect
111. #14583426C22semidirect
112. #14583412C22semidirect
113. #14583412C22semidirect
115. #14583410C22semidirect
116. #14583409C22semidirect
117. #14583409C22semidirect
118. #14583409C22semidirect
119. #14583408C22semidirect
120. #14583408C22semidirect
121. #14583407C22semidirect
122. #14583406C22semidirect
123. #14583406C22semidirect
124. #14583406C22semidirect
125. #14583406C22semidirect
126. #14583406C22semidirect
127. #14583406C22semidirect
128. #14583405C22semidirect
129. C2×#13063308C22semidirect
130. C2×#13063306C22semidirect
131. #123×D43C22semidirect
132. C2×#13063301C22semidirect
133. C2×#13063301C22semidirect
134. C22⋊Q8×D43C22semidirect
135. C22⋊Q8×D43C22semidirect
136. C2×#13063296C22semidirect
137. #121×D43C22semidirect
138. #121×D43C22semidirect
139. #121×D43C22semidirect
140. C2×#13063293C22semidirect
141. #120×D43C22semidirect
142. #14583382C22semidirect
143. #14583379C22semidirect
144. #14583378C22semidirect
145. #14583374C22semidirect
146. #14583371C22semidirect
147. C2×C4×C22⋊D43C22semidirect
148. C4×D4×D43C22semidirect
149. C4×D4×D43C22semidirect
150. C2×#13063284C22semidirect
151. #117×D43C22semidirect
152. C2×2−1+4×C43C22semidirect
153. C22×#41×C43C22semidirect
154. C43×#550C22semidirect
155. C43×#550C22semidirect
156. C43×#548C22semidirect
157. C43×#548C22semidirect
158. C43×#535C22semidirect
159. C43×#535C22semidirect
160. C43×#525C22semidirect
161. C43×#525C22semidirect
162. C43×#519C22semidirect
171. C2×#10621900C23semidirect
181. C2×D4×D43C23semidirect
191. #13063325C23semidirect
192. #13063324C23semidirect
193. #13063323C23semidirect
194. #13063323C23semidirect
197. #13063320C23semidirect
198. #13063320C23semidirect
200. #13063319C23semidirect
203. #13063318C23semidirect
204. #13063318C23semidirect
205. #13063318C23semidirect
206. #13063317C23semidirect
207. #13063317C23semidirect
208. #13063316C23semidirect
209. #13063315C23semidirect
210. #13063315C23semidirect
211. #13063315C23semidirect
213. #13063314C23semidirect
216. #13063312C23semidirect
219. #13063311C23semidirect
220. #13063311C23semidirect
230. #13063308C23semidirect
231. #13063308C23semidirect
232. #13063308C23semidirect
237. #13063307C23semidirect
245. #13063306C23semidirect
246. #13063306C23semidirect
247. #13063306C23semidirect
252. #13063304C23semidirect
253. #13063304C23semidirect
257. #13063303C23semidirect
261. #13063302C23semidirect
262. #13063302C23semidirect
270. #13063301C23semidirect
271. #13063301C23semidirect
272. #13063301C23semidirect
273. #13063301C23semidirect
279. #13063299C23semidirect
294. #13063297C23semidirect
295. #13063297C23semidirect
304. #13063296C23semidirect
305. #13063296C23semidirect
321. #13063293C23semidirect
322. Q8×Dic43C23semidirect
323. C4×Dic86C23semidirect
324. C4×Dic86C23semidirect
325. #13063290C23semidirect
329. C4×D172C23semidirect
333. D4×Dic43C23semidirect
334. D4×Dic43C23semidirect
335. D4×Dic43C23semidirect
336. D4×Dic43C23semidirect
337. D4×Dic43C23semidirect
349. C4×C22⋊D43C23semidirect
357. (C22⋊D43)⋊C4C23semidirect
361. #13063284C23semidirect
364. #13063283C23semidirect
365. #13063283C23semidirect
368. #13063282C23semidirect
370. #13063281C23semidirect
371. #13063281C23semidirect
373. C2×C4⋊Dic43C23semidirect
375. C2×Dic43⋊C4C23semidirect
376. C2×Dic43⋊C4C23semidirect
381. C4⋊C4×D43C23semidirect
387. C2×(C2×D43)⋊C4C23semidirect
393. C22⋊C4×D43C23semidirect
402. C2×#41×C43C23semidirect
404. C22×Q8×C43C23semidirect
411. #127×C43C23semidirect
414. #124×C43C23semidirect
418. C22⋊Q8×C43C23semidirect
423. #121×C43C23semidirect
424. #121×C43C23semidirect
425. #121×C43C23semidirect
428. C4×Q8×C43C23semidirect
429. C4×Q8×C43C23semidirect
432. C4×D4×C43C23semidirect
433. C4×D4×C43C23semidirect
775. #3487D43semidirect
789. C2×2−1+4C2×D43semidirect
792. C22×#41C2×D43semidirect
830. #550C2×D43semidirect
831. #550C2×D43semidirect
835. #548C2×D43semidirect
836. #548C2×D43semidirect
879. #535C2×D43semidirect
880. #535C2×D43semidirect
905. #525C2×D43semidirect
906. #525C2×D43semidirect
923. #519C2×D43semidirect
931. C43#62821semidirect
948. C2×#41C22×D43semidirect
951. C22×Q8C22×D43semidirect
980. #127C22×D43semidirect
1008. #124C22×D43semidirect
1065. C22⋊Q8C22×D43semidirect
1102. #121C22×D43semidirect
1103. #121C22×D43semidirect
1104. #121C22×D43semidirect
1127. C4×Q8C22×D43semidirect
1128. C4×Q8C22×D43semidirect
1163. C4×D4C22×D43semidirect
1164. C4×D4C22×D43semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191489012
#191488862
#191488692
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C2×#145834062
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C43×#34872
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